Study relationship between mass and period and amplitude and period of a vertical spring with mass.
Plot a graph of the first variable (mass, amplitude) on the x-axis and period on the y-axis
Use at least 5 levels of independent variable
Attach a 15N/m to a ring stand
For Amplitude vs. Period a 110g mass was suspended from the spring while being pulled to amplitudes of 2, 4, 6, 8, and 10cm
For Mass vs. Period, different masses of 110, 130, 150, 170, and 190g were pulled to an amplitude of 5cm
10 cycles/periods were counted and timed
From the equation (13.11) in the book we know that T = 2π √(m/k) where m is the mass and k is the spring constant. We found through the lab that no matter what the amplitude of the harmonic motion, the periods remain constant. This is not surprising because the equation from 13.11 does not depend on the amplitude. For the Mass vs. Period test, we found that increasing the mass on the spring increased the period. The period length in the forumla is directly proportional to the square root of the mass meaning that an increase in mass also increases the period length.
From the equation (13.11) in the book we know that T = 2π √(m/k) where m is the mass and k is the spring constant. We found through the lab that no matter what the amplitude of the harmonic motion, the periods remain constant. This is not surprising because the equation from 13.11 does not depend on the amplitude. For the Mass vs. Period test, we found that increasing the mass on the spring increased the period. The period length in the forumla is directly proportional to the square root of the mass meaning that an increase in mass also increases the period length.